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Finding the Fourth Proportional to 274.16, 409.12 and 243.40

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Solution

The fourth proportional to 274.16, 409.12 and 243.40 is: 363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 409.12 = 243.40 : x
  2. Step 2: Convert to fraction form
    274.16/409.12 = 243.40/x
  3. Step 3: Cross multiply
    274.16x = 409.12 × 243.40
  4. Step 4: Simplify right side
    274.16x = 99,579.81
  5. Step 5: Solve for x
    x = 99,579.81/274.16
  6. Step 6: Final answer
    x = 363.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.